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arXiv · 2103.13071

The quasi-static plasmonic problem for polyhedra

Marta de León-Contreras·Karl-Mikael Perfekt
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Abstract

We characterize the essential spectrum of the plasmonic problem for polyhedra in $\mathbb{R}^3$. The description is particularly simple for convex polyhedra and permittivities $ε< - 1$. The plasmonic problem is interpreted as a spectral problem through a boundary integral operator, the direct value of the double layer potential, also known as the Neumann--Poincaré operator. We therefore study the spectral structure of the the double layer potential for polyhedral cones and polyhedra.

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Marta de León-Contreras, Karl-Mikael Perfekt. 2022-10-28. The quasi-static plasmonic problem for polyhedra. https://doi.org/10.1007/s00208-022-02481-x

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